Answer:
The correct answer is 2.912 cm.
Step-by-step explanation:
A company is designing a new cylindrical water bottle.
Volume of a cylinder is given by π ×
× h, where h is the height of the cylinder and r is the radius of the cylinder.
The volume of each bottle will be 211
.
The height (h) of the water bottle be 7.9 cm.
Let the radius of the bottle be r cm.
∴ π ×
× h = 211 ; (π = 3.15)
⇒
× 24.885 = 211
⇒ r = 2.912
The radius of the water bottle is 2.912 cm.
Answer:
336 sq un
Step-by-step explanation:
The area of a rhombus is pq/2 where p and q are the diagonals.
you have:
p = 12 + 12 = 24
q = 18 + 10 = 28
so the formula would be:
24 * 28 / 2 = 336 sq un
Answer: There are approximately 853827 new cases in 6 years.
Step-by-step explanation:
Since we have given that
Initial population = 570000
Rate at which population decreases is given by

Now,
First year =570000
Second year is given by

Third year is given by

so, there is common ratio ,
it becomes geometric progression, as there is exponential decline.
so,

a=570000
common ratio is given by

number of terms = 6
Sum of terms will be given by

We'll put this value in this formula,

So, there are approximately 853827 new cases in 6 years.
Answer:
<em>4(b) , 5(a)</em>
Step-by-step explanation:
(4). <em>(b)</em> Domain is {0, 1, 2, 3} and Range is { - 3, - 2, - 1, 0}
(5). <em>(a)</em> Domain is [ - 4, 2] and Range is [ - 4, 4]
or
domain: - 4 ≤ x ≤ 2 , range: - 4 ≤ y ≤ 4
Answer:
7.1ft
Step-by-step explanation:
The formula for calculating the total surface area of a cube is 2(L²+L²+L²)
=2(3L²)
= 6L²
Where L is the length of the cube
If the total surface area of a cube is 302.46ft², then
302.46 = 6L²
L² = 302.46/6
L² = 50.41
L =√50.41
L = 7.1ft
The length of the side of the cube is 7.1ft